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arXiv · 1205.1197

Embedding the symbolic dynamics of Lorenz maps

Tony Samuel·Nina Snigireva·Andrew Vince
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Abstract

Necessary and sufficient conditions for the symbolic dynamics of a Lorenz map to be fully embedded in the symbolic dynamics of a piecewise continuous interval map are given. As an application of this result, we describe a new algorithm for calculating the topological entropy of a Lorenz map.

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Tony Samuel, Nina Snigireva, Andrew Vince. 2017-10-23. Embedding the symbolic dynamics of Lorenz maps. https://doi.org/10.1017/s0305004114000061

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